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Finding the Fourth Proportional to 349.09, 523.71 and 117.97

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Solution

The fourth proportional to 349.09, 523.71 and 117.97 is: 176.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.09 : 523.71 = 117.97 : x
  2. Step 2: Convert to fraction form
    349.09/523.71 = 117.97/x
  3. Step 3: Cross multiply
    349.09x = 523.71 × 117.97
  4. Step 4: Simplify right side
    349.09x = 61,782.07
  5. Step 5: Solve for x
    x = 61,782.07/349.09
  6. Step 6: Final answer
    x = 176.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.